10616832 has 90 divisors (see below), whose sum is σ = 31719303. Its totient is φ = 3538944.

The previous prime is 10616831. The next prime is 10616897. The reversal of 10616832 is 23861601.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)⁵.

10616832 is a `hidden beast` number, since 10 + 616 + 8 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5308416 + 5308416 = 2304^2 + 2304^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=2304.

It is a super-2 number, since 2×10616832² = 225434243432448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 10616796 and 10616805.

It is not an unprimeable number, because it can be changed into a prime (10616831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 3538943 + 3538944 + 3538945.

Almost surely, 2^10616832 is an apocalyptic number.

10616832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10616832

10616832 is an abundant number, since it is smaller than the sum of its proper divisors (21102471).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10616832 is an frugal number, since it uses more digits than its factorization.

10616832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10616832 is about 3258.3480477076. The cubic root of 10616832 is about 219.7851345702.

The spelling of 10616832 in words is "ten million, six hundred sixteen thousand, eight hundred thirty-two".